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Finding the Fourth Proportional to 10,344.32, 14,275.64 and 5,868.24

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Solution

The fourth proportional to 10,344.32, 14,275.64 and 5,868.24 is: 8,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.32 : 14,275.64 = 5,868.24 : x
  2. Step 2: Convert to fraction form
    10,344.32/14,275.64 = 5,868.24/x
  3. Step 3: Cross multiply
    10,344.32x = 14,275.64 × 5,868.24
  4. Step 4: Simplify right side
    10,344.32x = 83,772,881.67
  5. Step 5: Solve for x
    x = 83,772,881.67/10,344.32
  6. Step 6: Final answer
    x = 8,098.44

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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.