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Finding the Fourth Proportional to 10,569.95, 14,585.97 and 5,789.65

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Solution

The fourth proportional to 10,569.95, 14,585.97 and 5,789.65 is: 7,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.95 : 14,585.97 = 5,789.65 : x
  2. Step 2: Convert to fraction form
    10,569.95/14,585.97 = 5,789.65/x
  3. Step 3: Cross multiply
    10,569.95x = 14,585.97 × 5,789.65
  4. Step 4: Simplify right side
    10,569.95x = 84,447,612.59
  5. Step 5: Solve for x
    x = 84,447,612.59/10,569.95
  6. Step 6: Final answer
    x = 7,989.40

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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.