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Finding the Fourth Proportional to 10,278.36, 15,412.07 and 6,319.89

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Solution

The fourth proportional to 10,278.36, 15,412.07 and 6,319.89 is: 9,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.36 : 15,412.07 = 6,319.89 : x
  2. Step 2: Convert to fraction form
    10,278.36/15,412.07 = 6,319.89/x
  3. Step 3: Cross multiply
    10,278.36x = 15,412.07 × 6,319.89
  4. Step 4: Simplify right side
    10,278.36x = 97,402,602.87
  5. Step 5: Solve for x
    x = 97,402,602.87/10,278.36
  6. Step 6: Final answer
    x = 9,476.47

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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.