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Finding the Fourth Proportional to 7,875.18, 10,857.63 and 6,453.63

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Solution

The fourth proportional to 7,875.18, 10,857.63 and 6,453.63 is: 8,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.18 : 10,857.63 = 6,453.63 : x
  2. Step 2: Convert to fraction form
    7,875.18/10,857.63 = 6,453.63/x
  3. Step 3: Cross multiply
    7,875.18x = 10,857.63 × 6,453.63
  4. Step 4: Simplify right side
    7,875.18x = 70,071,126.70
  5. Step 5: Solve for x
    x = 70,071,126.70/7,875.18
  6. Step 6: Final answer
    x = 8,897.72

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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.