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Finding the Fourth Proportional to 10,364.16, 14,295.04 and 6,830.08

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Solution

The fourth proportional to 10,364.16, 14,295.04 and 6,830.08 is: 9,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.16 : 14,295.04 = 6,830.08 : x
  2. Step 2: Convert to fraction form
    10,364.16/14,295.04 = 6,830.08/x
  3. Step 3: Cross multiply
    10,364.16x = 14,295.04 × 6,830.08
  4. Step 4: Simplify right side
    10,364.16x = 97,636,266.80
  5. Step 5: Solve for x
    x = 97,636,266.80/10,364.16
  6. Step 6: Final answer
    x = 9,420.57

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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.