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Finding the Fourth Proportional to 10,547.82, 15,817.86 and 4,708.44

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Solution

The fourth proportional to 10,547.82, 15,817.86 and 4,708.44 is: 7,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.82 : 15,817.86 = 4,708.44 : x
  2. Step 2: Convert to fraction form
    10,547.82/15,817.86 = 4,708.44/x
  3. Step 3: Cross multiply
    10,547.82x = 15,817.86 × 4,708.44
  4. Step 4: Simplify right side
    10,547.82x = 74,477,444.74
  5. Step 5: Solve for x
    x = 74,477,444.74/10,547.82
  6. Step 6: Final answer
    x = 7,060.93

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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.