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Finding the Fourth Proportional to 10,609.95, 15,916.65 and 3,590.39

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Solution

The fourth proportional to 10,609.95, 15,916.65 and 3,590.39 is: 5,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.95 : 15,916.65 = 3,590.39 : x
  2. Step 2: Convert to fraction form
    10,609.95/15,916.65 = 3,590.39/x
  3. Step 3: Cross multiply
    10,609.95x = 15,916.65 × 3,590.39
  4. Step 4: Simplify right side
    10,609.95x = 57,146,963.04
  5. Step 5: Solve for x
    x = 57,146,963.04/10,609.95
  6. Step 6: Final answer
    x = 5,386.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.