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Finding the Fourth Proportional to 10,970.16, 16,428.86 and 6,275.94

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Solution

The fourth proportional to 10,970.16, 16,428.86 and 6,275.94 is: 9,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.16 : 16,428.86 = 6,275.94 : x
  2. Step 2: Convert to fraction form
    10,970.16/16,428.86 = 6,275.94/x
  3. Step 3: Cross multiply
    10,970.16x = 16,428.86 × 6,275.94
  4. Step 4: Simplify right side
    10,970.16x = 103,106,539.63
  5. Step 5: Solve for x
    x = 103,106,539.63/10,970.16
  6. Step 6: Final answer
    x = 9,398.82

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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.