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Finding the Fourth Proportional to 10,059.56, 13,873.80 and 7,547.24

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Solution

The fourth proportional to 10,059.56, 13,873.80 and 7,547.24 is: 10,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.56 : 13,873.80 = 7,547.24 : x
  2. Step 2: Convert to fraction form
    10,059.56/13,873.80 = 7,547.24/x
  3. Step 3: Cross multiply
    10,059.56x = 13,873.80 × 7,547.24
  4. Step 4: Simplify right side
    10,059.56x = 104,708,828.94
  5. Step 5: Solve for x
    x = 104,708,828.94/10,059.56
  6. Step 6: Final answer
    x = 10,408.89

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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.