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Finding the Fourth Proportional to 10,023.90, 13,832.78 and 5,547.84

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Solution

The fourth proportional to 10,023.90, 13,832.78 and 5,547.84 is: 7,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.90 : 13,832.78 = 5,547.84 : x
  2. Step 2: Convert to fraction form
    10,023.90/13,832.78 = 5,547.84/x
  3. Step 3: Cross multiply
    10,023.90x = 13,832.78 × 5,547.84
  4. Step 4: Simplify right side
    10,023.90x = 76,742,050.20
  5. Step 5: Solve for x
    x = 76,742,050.20/10,023.90
  6. Step 6: Final answer
    x = 7,655.91

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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.