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Finding the Fourth Proportional to 10,545.58, 15,810.50 and 6,384.59

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Solution

The fourth proportional to 10,545.58, 15,810.50 and 6,384.59 is: 9,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.58 : 15,810.50 = 6,384.59 : x
  2. Step 2: Convert to fraction form
    10,545.58/15,810.50 = 6,384.59/x
  3. Step 3: Cross multiply
    10,545.58x = 15,810.50 × 6,384.59
  4. Step 4: Simplify right side
    10,545.58x = 100,943,520.48
  5. Step 5: Solve for x
    x = 100,943,520.48/10,545.58
  6. Step 6: Final answer
    x = 9,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.