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Finding the Fourth Proportional to 7,700.12, 11,547.75 and 3,316.40

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Solution

The fourth proportional to 7,700.12, 11,547.75 and 3,316.40 is: 4,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.12 : 11,547.75 = 3,316.40 : x
  2. Step 2: Convert to fraction form
    7,700.12/11,547.75 = 3,316.40/x
  3. Step 3: Cross multiply
    7,700.12x = 11,547.75 × 3,316.40
  4. Step 4: Simplify right side
    7,700.12x = 38,296,958.10
  5. Step 5: Solve for x
    x = 38,296,958.10/7,700.12
  6. Step 6: Final answer
    x = 4,973.55

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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.