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Finding the Fourth Proportional to 7,735.36, 10,670.80 and 4,897.93

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Solution

The fourth proportional to 7,735.36, 10,670.80 and 4,897.93 is: 6,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.36 : 10,670.80 = 4,897.93 : x
  2. Step 2: Convert to fraction form
    7,735.36/10,670.80 = 4,897.93/x
  3. Step 3: Cross multiply
    7,735.36x = 10,670.80 × 4,897.93
  4. Step 4: Simplify right side
    7,735.36x = 52,264,831.44
  5. Step 5: Solve for x
    x = 52,264,831.44/7,735.36
  6. Step 6: Final answer
    x = 6,756.61

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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.