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Finding the Fourth Proportional to 10,688.95, 14,748.64 and 5,972.32

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Solution

The fourth proportional to 10,688.95, 14,748.64 and 5,972.32 is: 8,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.95 : 14,748.64 = 5,972.32 : x
  2. Step 2: Convert to fraction form
    10,688.95/14,748.64 = 5,972.32/x
  3. Step 3: Cross multiply
    10,688.95x = 14,748.64 × 5,972.32
  4. Step 4: Simplify right side
    10,688.95x = 88,083,597.64
  5. Step 5: Solve for x
    x = 88,083,597.64/10,688.95
  6. Step 6: Final answer
    x = 8,240.62

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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.