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Finding the Fourth Proportional to 10,345.62, 14,277.64 and 5,869.40

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Solution

The fourth proportional to 10,345.62, 14,277.64 and 5,869.40 is: 8,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.62 : 14,277.64 = 5,869.40 : x
  2. Step 2: Convert to fraction form
    10,345.62/14,277.64 = 5,869.40/x
  3. Step 3: Cross multiply
    10,345.62x = 14,277.64 × 5,869.40
  4. Step 4: Simplify right side
    10,345.62x = 83,801,180.22
  5. Step 5: Solve for x
    x = 83,801,180.22/10,345.62
  6. Step 6: Final answer
    x = 8,100.16

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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.