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Finding the Fourth Proportional to 10,547, 14,555.10 and 6,827.48

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Solution

The fourth proportional to 10,547, 14,555.10 and 6,827.48 is: 9,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547 : 14,555.10 = 6,827.48 : x
  2. Step 2: Convert to fraction form
    10,547/14,555.10 = 6,827.48/x
  3. Step 3: Cross multiply
    10,547x = 14,555.10 × 6,827.48
  4. Step 4: Simplify right side
    10,547x = 99,374,654.15
  5. Step 5: Solve for x
    x = 99,374,654.15/10,547
  6. Step 6: Final answer
    x = 9,422.08

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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.