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Finding the Fourth Proportional to 10,581.93, 15,875.98 and 4,737.17

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Solution

The fourth proportional to 10,581.93, 15,875.98 and 4,737.17 is: 7,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.93 : 15,875.98 = 4,737.17 : x
  2. Step 2: Convert to fraction form
    10,581.93/15,875.98 = 4,737.17/x
  3. Step 3: Cross multiply
    10,581.93x = 15,875.98 × 4,737.17
  4. Step 4: Simplify right side
    10,581.93x = 75,207,216.18
  5. Step 5: Solve for x
    x = 75,207,216.18/10,581.93
  6. Step 6: Final answer
    x = 7,107.14

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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.