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Finding the Fourth Proportional to 10,353.48, 14,256.17 and 7,804.95

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Solution

The fourth proportional to 10,353.48, 14,256.17 and 7,804.95 is: 10,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.48 : 14,256.17 = 7,804.95 : x
  2. Step 2: Convert to fraction form
    10,353.48/14,256.17 = 7,804.95/x
  3. Step 3: Cross multiply
    10,353.48x = 14,256.17 × 7,804.95
  4. Step 4: Simplify right side
    10,353.48x = 111,268,655.02
  5. Step 5: Solve for x
    x = 111,268,655.02/10,353.48
  6. Step 6: Final answer
    x = 10,746.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.