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Finding the Fourth Proportional to 10,798.84, 14,897.30 and 6,319.82

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Solution

The fourth proportional to 10,798.84, 14,897.30 and 6,319.82 is: 8,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.84 : 14,897.30 = 6,319.82 : x
  2. Step 2: Convert to fraction form
    10,798.84/14,897.30 = 6,319.82/x
  3. Step 3: Cross multiply
    10,798.84x = 14,897.30 × 6,319.82
  4. Step 4: Simplify right side
    10,798.84x = 94,148,254.49
  5. Step 5: Solve for x
    x = 94,148,254.49/10,798.84
  6. Step 6: Final answer
    x = 8,718.37

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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.