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Finding the Fourth Proportional to 10,048.95, 15,028.16 and 7,677.77

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Solution

The fourth proportional to 10,048.95, 15,028.16 and 7,677.77 is: 11,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.95 : 15,028.16 = 7,677.77 : x
  2. Step 2: Convert to fraction form
    10,048.95/15,028.16 = 7,677.77/x
  3. Step 3: Cross multiply
    10,048.95x = 15,028.16 × 7,677.77
  4. Step 4: Simplify right side
    10,048.95x = 115,382,642.47
  5. Step 5: Solve for x
    x = 115,382,642.47/10,048.95
  6. Step 6: Final answer
    x = 11,482.06

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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.