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Finding the Fourth Proportional to 7,625.76, 11,420.01 and 4,700.04

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Solution

The fourth proportional to 7,625.76, 11,420.01 and 4,700.04 is: 7,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.76 : 11,420.01 = 4,700.04 : x
  2. Step 2: Convert to fraction form
    7,625.76/11,420.01 = 4,700.04/x
  3. Step 3: Cross multiply
    7,625.76x = 11,420.01 × 4,700.04
  4. Step 4: Simplify right side
    7,625.76x = 53,674,503.80
  5. Step 5: Solve for x
    x = 53,674,503.80/7,625.76
  6. Step 6: Final answer
    x = 7,038.58

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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.