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Finding the Fourth Proportional to 7,875.70, 11,831.15 and 6,579.70

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Solution

The fourth proportional to 7,875.70, 11,831.15 and 6,579.70 is: 9,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.70 : 11,831.15 = 6,579.70 : x
  2. Step 2: Convert to fraction form
    7,875.70/11,831.15 = 6,579.70/x
  3. Step 3: Cross multiply
    7,875.70x = 11,831.15 × 6,579.70
  4. Step 4: Simplify right side
    7,875.70x = 77,845,417.66
  5. Step 5: Solve for x
    x = 77,845,417.66/7,875.70
  6. Step 6: Final answer
    x = 9,884.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.