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Finding the Fourth Proportional to 10,688.47, 14,725.94 and 7,455.18

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Solution

The fourth proportional to 10,688.47, 14,725.94 and 7,455.18 is: 10,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.47 : 14,725.94 = 7,455.18 : x
  2. Step 2: Convert to fraction form
    10,688.47/14,725.94 = 7,455.18/x
  3. Step 3: Cross multiply
    10,688.47x = 14,725.94 × 7,455.18
  4. Step 4: Simplify right side
    10,688.47x = 109,784,551.32
  5. Step 5: Solve for x
    x = 109,784,551.32/10,688.47
  6. Step 6: Final answer
    x = 10,271.31

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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.