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Finding the Fourth Proportional to 10,671.16, 14,708.50 and 7,133.08

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Solution

The fourth proportional to 10,671.16, 14,708.50 and 7,133.08 is: 9,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.16 : 14,708.50 = 7,133.08 : x
  2. Step 2: Convert to fraction form
    10,671.16/14,708.50 = 7,133.08/x
  3. Step 3: Cross multiply
    10,671.16x = 14,708.50 × 7,133.08
  4. Step 4: Simplify right side
    10,671.16x = 104,916,907.18
  5. Step 5: Solve for x
    x = 104,916,907.18/10,671.16
  6. Step 6: Final answer
    x = 9,831.82

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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.