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Finding the Fourth Proportional to 10,303.59, 14,219.00 and 5,587.95

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Solution

The fourth proportional to 10,303.59, 14,219.00 and 5,587.95 is: 7,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.59 : 14,219.00 = 5,587.95 : x
  2. Step 2: Convert to fraction form
    10,303.59/14,219.00 = 5,587.95/x
  3. Step 3: Cross multiply
    10,303.59x = 14,219.00 × 5,587.95
  4. Step 4: Simplify right side
    10,303.59x = 79,455,033.11
  5. Step 5: Solve for x
    x = 79,455,033.11/10,303.59
  6. Step 6: Final answer
    x = 7,711.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.