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Finding the Fourth Proportional to 7,646.96, 11,459.28 and 5,303.90

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Solution

The fourth proportional to 7,646.96, 11,459.28 and 5,303.90 is: 7,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.96 : 11,459.28 = 5,303.90 : x
  2. Step 2: Convert to fraction form
    7,646.96/11,459.28 = 5,303.90/x
  3. Step 3: Cross multiply
    7,646.96x = 11,459.28 × 5,303.90
  4. Step 4: Simplify right side
    7,646.96x = 60,778,875.19
  5. Step 5: Solve for x
    x = 60,778,875.19/7,646.96
  6. Step 6: Final answer
    x = 7,948.11

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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.