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Finding the Fourth Proportional to 7,701.71, 11,547.36 and 3,018.80

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Solution

The fourth proportional to 7,701.71, 11,547.36 and 3,018.80 is: 4,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.71 : 11,547.36 = 3,018.80 : x
  2. Step 2: Convert to fraction form
    7,701.71/11,547.36 = 3,018.80/x
  3. Step 3: Cross multiply
    7,701.71x = 11,547.36 × 3,018.80
  4. Step 4: Simplify right side
    7,701.71x = 34,859,174.88
  5. Step 5: Solve for x
    x = 34,859,174.88/7,701.71
  6. Step 6: Final answer
    x = 4,526.16

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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.