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Finding the Fourth Proportional to 10,514.61, 14,508.63 and 6,534.27

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Solution

The fourth proportional to 10,514.61, 14,508.63 and 6,534.27 is: 9,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.61 : 14,508.63 = 6,534.27 : x
  2. Step 2: Convert to fraction form
    10,514.61/14,508.63 = 6,534.27/x
  3. Step 3: Cross multiply
    10,514.61x = 14,508.63 × 6,534.27
  4. Step 4: Simplify right side
    10,514.61x = 94,803,305.75
  5. Step 5: Solve for x
    x = 94,803,305.75/10,514.61
  6. Step 6: Final answer
    x = 9,016.34

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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.