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Finding the Fourth Proportional to 10,597.95, 15,897.56 and 2,806.74

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Solution

The fourth proportional to 10,597.95, 15,897.56 and 2,806.74 is: 4,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.95 : 15,897.56 = 2,806.74 : x
  2. Step 2: Convert to fraction form
    10,597.95/15,897.56 = 2,806.74/x
  3. Step 3: Cross multiply
    10,597.95x = 15,897.56 × 2,806.74
  4. Step 4: Simplify right side
    10,597.95x = 44,620,303.52
  5. Step 5: Solve for x
    x = 44,620,303.52/10,597.95
  6. Step 6: Final answer
    x = 4,210.28

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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.