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Finding the Fourth Proportional to 7,248.40, 10,831.25 and 6,082

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Solution

The fourth proportional to 7,248.40, 10,831.25 and 6,082 is: 9,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.40 : 10,831.25 = 6,082 : x
  2. Step 2: Convert to fraction form
    7,248.40/10,831.25 = 6,082/x
  3. Step 3: Cross multiply
    7,248.40x = 10,831.25 × 6,082
  4. Step 4: Simplify right side
    7,248.40x = 65,875,662.50
  5. Step 5: Solve for x
    x = 65,875,662.50/7,248.40
  6. Step 6: Final answer
    x = 9,088.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.