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Finding the Fourth Proportional to 10,514.52, 14,509.55 and 5,734.34

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Solution

The fourth proportional to 10,514.52, 14,509.55 and 5,734.34 is: 7,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.52 : 14,509.55 = 5,734.34 : x
  2. Step 2: Convert to fraction form
    10,514.52/14,509.55 = 5,734.34/x
  3. Step 3: Cross multiply
    10,514.52x = 14,509.55 × 5,734.34
  4. Step 4: Simplify right side
    10,514.52x = 83,202,681.74
  5. Step 5: Solve for x
    x = 83,202,681.74/10,514.52
  6. Step 6: Final answer
    x = 7,913.13

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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.