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Finding the Fourth Proportional to 10,688.34, 14,725.76 and 7,455.06

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Solution

The fourth proportional to 10,688.34, 14,725.76 and 7,455.06 is: 10,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.34 : 14,725.76 = 7,455.06 : x
  2. Step 2: Convert to fraction form
    10,688.34/14,725.76 = 7,455.06/x
  3. Step 3: Cross multiply
    10,688.34x = 14,725.76 × 7,455.06
  4. Step 4: Simplify right side
    10,688.34x = 109,781,424.35
  5. Step 5: Solve for x
    x = 109,781,424.35/10,688.34
  6. Step 6: Final answer
    x = 10,271.14

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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.