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Finding the Fourth Proportional to 10,560.96, 14,574.88 and 6,312.16

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Solution

The fourth proportional to 10,560.96, 14,574.88 and 6,312.16 is: 8,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.96 : 14,574.88 = 6,312.16 : x
  2. Step 2: Convert to fraction form
    10,560.96/14,574.88 = 6,312.16/x
  3. Step 3: Cross multiply
    10,560.96x = 14,574.88 × 6,312.16
  4. Step 4: Simplify right side
    10,560.96x = 91,998,974.54
  5. Step 5: Solve for x
    x = 91,998,974.54/10,560.96
  6. Step 6: Final answer
    x = 8,711.23

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