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Finding the Fourth Proportional to 10,615.32, 14,648.52 and 5,899.32

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Solution

The fourth proportional to 10,615.32, 14,648.52 and 5,899.32 is: 8,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.32 : 14,648.52 = 5,899.32 : x
  2. Step 2: Convert to fraction form
    10,615.32/14,648.52 = 5,899.32/x
  3. Step 3: Cross multiply
    10,615.32x = 14,648.52 × 5,899.32
  4. Step 4: Simplify right side
    10,615.32x = 86,416,307.01
  5. Step 5: Solve for x
    x = 86,416,307.01/10,615.32
  6. Step 6: Final answer
    x = 8,140.72

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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.