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Finding the Fourth Proportional to 10,364.66, 14,303.28 and 5,648.95

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Solution

The fourth proportional to 10,364.66, 14,303.28 and 5,648.95 is: 7,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.66 : 14,303.28 = 5,648.95 : x
  2. Step 2: Convert to fraction form
    10,364.66/14,303.28 = 5,648.95/x
  3. Step 3: Cross multiply
    10,364.66x = 14,303.28 × 5,648.95
  4. Step 4: Simplify right side
    10,364.66x = 80,798,440.39
  5. Step 5: Solve for x
    x = 80,798,440.39/10,364.66
  6. Step 6: Final answer
    x = 7,795.57

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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.