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Finding the Fourth Proportional to 10,055.82, 13,875.92 and 5,578.46

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Solution

The fourth proportional to 10,055.82, 13,875.92 and 5,578.46 is: 7,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.82 : 13,875.92 = 5,578.46 : x
  2. Step 2: Convert to fraction form
    10,055.82/13,875.92 = 5,578.46/x
  3. Step 3: Cross multiply
    10,055.82x = 13,875.92 × 5,578.46
  4. Step 4: Simplify right side
    10,055.82x = 77,406,271.74
  5. Step 5: Solve for x
    x = 77,406,271.74/10,055.82
  6. Step 6: Final answer
    x = 7,697.66

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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.