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Finding the Fourth Proportional to 7,117.56, 9,819.63 and 4,464

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Solution

The fourth proportional to 7,117.56, 9,819.63 and 4,464 is: 6,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.56 : 9,819.63 = 4,464 : x
  2. Step 2: Convert to fraction form
    7,117.56/9,819.63 = 4,464/x
  3. Step 3: Cross multiply
    7,117.56x = 9,819.63 × 4,464
  4. Step 4: Simplify right side
    7,117.56x = 43,834,828.32
  5. Step 5: Solve for x
    x = 43,834,828.32/7,117.56
  6. Step 6: Final answer
    x = 6,158.69

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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.