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Finding the Fourth Proportional to 7,148.34, 9,864.54 and 4,005.18

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Solution

The fourth proportional to 7,148.34, 9,864.54 and 4,005.18 is: 5,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.34 : 9,864.54 = 4,005.18 : x
  2. Step 2: Convert to fraction form
    7,148.34/9,864.54 = 4,005.18/x
  3. Step 3: Cross multiply
    7,148.34x = 9,864.54 × 4,005.18
  4. Step 4: Simplify right side
    7,148.34x = 39,509,258.32
  5. Step 5: Solve for x
    x = 39,509,258.32/7,148.34
  6. Step 6: Final answer
    x = 5,527.05

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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.