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Finding the Fourth Proportional to 7,547.58, 11,316.94 and 2,281.02

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Solution

The fourth proportional to 7,547.58, 11,316.94 and 2,281.02 is: 3,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.58 : 11,316.94 = 2,281.02 : x
  2. Step 2: Convert to fraction form
    7,547.58/11,316.94 = 2,281.02/x
  3. Step 3: Cross multiply
    7,547.58x = 11,316.94 × 2,281.02
  4. Step 4: Simplify right side
    7,547.58x = 25,814,166.48
  5. Step 5: Solve for x
    x = 25,814,166.48/7,547.58
  6. Step 6: Final answer
    x = 3,420.19

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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.