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Finding the Fourth Proportional to 8,417.34, 11,610.61 and 6,022.58

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Solution

The fourth proportional to 8,417.34, 11,610.61 and 6,022.58 is: 8,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.34 : 11,610.61 = 6,022.58 : x
  2. Step 2: Convert to fraction form
    8,417.34/11,610.61 = 6,022.58/x
  3. Step 3: Cross multiply
    8,417.34x = 11,610.61 × 6,022.58
  4. Step 4: Simplify right side
    8,417.34x = 69,925,754.46
  5. Step 5: Solve for x
    x = 69,925,754.46/8,417.34
  6. Step 6: Final answer
    x = 8,307.35

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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.