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Finding the Fourth Proportional to 7,831.14, 11,685.40 and 7,002.50

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Solution

The fourth proportional to 7,831.14, 11,685.40 and 7,002.50 is: 10,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.14 : 11,685.40 = 7,002.50 : x
  2. Step 2: Convert to fraction form
    7,831.14/11,685.40 = 7,002.50/x
  3. Step 3: Cross multiply
    7,831.14x = 11,685.40 × 7,002.50
  4. Step 4: Simplify right side
    7,831.14x = 81,827,013.50
  5. Step 5: Solve for x
    x = 81,827,013.50/7,831.14
  6. Step 6: Final answer
    x = 10,448.93

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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.