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Finding the Fourth Proportional to 7,152.48, 9,848.79 and 6,485.13

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Solution

The fourth proportional to 7,152.48, 9,848.79 and 6,485.13 is: 8,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.48 : 9,848.79 = 6,485.13 : x
  2. Step 2: Convert to fraction form
    7,152.48/9,848.79 = 6,485.13/x
  3. Step 3: Cross multiply
    7,152.48x = 9,848.79 × 6,485.13
  4. Step 4: Simplify right side
    7,152.48x = 63,870,683.49
  5. Step 5: Solve for x
    x = 63,870,683.49/7,152.48
  6. Step 6: Final answer
    x = 8,929.87

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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.