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Finding the Fourth Proportional to 10,232.76, 14,117.14 and 6,454.50

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Solution

The fourth proportional to 10,232.76, 14,117.14 and 6,454.50 is: 8,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.76 : 14,117.14 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    10,232.76/14,117.14 = 6,454.50/x
  3. Step 3: Cross multiply
    10,232.76x = 14,117.14 × 6,454.50
  4. Step 4: Simplify right side
    10,232.76x = 91,119,080.13
  5. Step 5: Solve for x
    x = 91,119,080.13/10,232.76
  6. Step 6: Final answer
    x = 8,904.64

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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.