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Finding the Fourth Proportional to 10,457.30, 15,688.08 and 9,411.62

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Solution

The fourth proportional to 10,457.30, 15,688.08 and 9,411.62 is: 14,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.30 : 15,688.08 = 9,411.62 : x
  2. Step 2: Convert to fraction form
    10,457.30/15,688.08 = 9,411.62/x
  3. Step 3: Cross multiply
    10,457.30x = 15,688.08 × 9,411.62
  4. Step 4: Simplify right side
    10,457.30x = 147,650,247.49
  5. Step 5: Solve for x
    x = 147,650,247.49/10,457.30
  6. Step 6: Final answer
    x = 14,119.35

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